I need help with Geometry
1 answer:
Answer:
The correct answer is:
Option 2: Yes, because the slopes of lines are negative reciprocals.
Step-by-step explanation:
Given equations of lines are:
Line p: x+2y=1
Line q: y=2x+1
We can determine if two lines are parallel or perpendicular by comparing the slopes of line.
Slope intercept form of line is given by the formula
Equation of line q is already in slope intercept form.
We have to convert the equation of line p in slope-intercept form
Slope of line p = 2
Slope of line q = -1/2
We can see that
The product of slopes of both lines is -1, hence, the lines are perpendicular.
Hence,
The correct answer is:
Option 2: Yes, because the slopes of lines are negative reciprocals.
You might be interested in
Your set is 2, 5 and 8.
In order to calculate the standard deviation, first, you need to calculate the mean of the scores:
m = (2 + 5 + 8) / 3
= 15 / 3
= 5
Then, find the variance: subtract the mean from each value, square the results, sum them up and divide it by the number of scores.
(2 - 5)² = 9
(5 - 5)² = 0
(8 - 5)² = 9
Therefore:
v = (9 + 0 + 9) / 3
= 18 / 3
= 6
The standard deviation is the square root of the variance:
σ = √6
= 2.45
In conclusion, the standard deviation can be calculated by the formula:
In order to calculate the standard deviation, first, you need to calculate the mean of the scores:
m = (2 + 5 + 8) / 3
= 15 / 3
= 5
Then, find the variance: subtract the mean from each value, square the results, sum them up and divide it by the number of scores.
(2 - 5)² = 9
(5 - 5)² = 0
(8 - 5)² = 9
Therefore:
v = (9 + 0 + 9) / 3
= 18 / 3
= 6
The standard deviation is the square root of the variance:
σ = √6
= 2.45
In conclusion, the standard deviation can be calculated by the formula: